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The hydraulic mean depth or the hydraulic radius is the ratio of
- a)area of flow and wetted perimeter
- b)wetted perimeter and diameter of pipe
- c)velocity of flow and area of flow
- d)none of these
Correct answer is option 'A'. Can you explain this answer?
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The hydraulic mean depth or the hydraulic radius is the ratio ofa)area...
Hydraulic Mean Depth or Hydraulic Radius
Hydraulic mean depth or hydraulic radius is a term used in fluid mechanics to measure the efficiency of a channel or pipe in carrying fluid. It is defined as the ratio of the area of flow to the wetted perimeter of the channel.
Formula
The formula for hydraulic mean depth or hydraulic radius is:
R = A/Pw
where,
R = hydraulic mean depth or hydraulic radius (m)
A = area of flow (m²)
Pw = wetted perimeter (m)
Explanation
The hydraulic radius is a measure of the effective cross-sectional area of the flow in a channel or pipe. It is calculated by dividing the area of flow by the wetted perimeter of the channel or pipe. The wetted perimeter is the length of the channel or pipe that is in contact with the fluid.
The hydraulic radius is important because it is used to calculate the hydraulic gradient, which is the change in pressure or energy per unit of length of the channel or pipe. The hydraulic gradient is used to calculate the flow rate of the fluid, which is important in designing and analyzing hydraulic systems.
Conclusion
In conclusion, the hydraulic mean depth or hydraulic radius is an important parameter in fluid mechanics. It is used to measure the efficiency of a channel or pipe in carrying fluid. The formula for hydraulic mean depth is the ratio of the area of flow to the wetted perimeter of the channel or pipe.
Hydraulic mean depth or hydraulic radius is a term used in fluid mechanics to measure the efficiency of a channel or pipe in carrying fluid. It is defined as the ratio of the area of flow to the wetted perimeter of the channel.
Formula
The formula for hydraulic mean depth or hydraulic radius is:
R = A/Pw
where,
R = hydraulic mean depth or hydraulic radius (m)
A = area of flow (m²)
Pw = wetted perimeter (m)
Explanation
The hydraulic radius is a measure of the effective cross-sectional area of the flow in a channel or pipe. It is calculated by dividing the area of flow by the wetted perimeter of the channel or pipe. The wetted perimeter is the length of the channel or pipe that is in contact with the fluid.
The hydraulic radius is important because it is used to calculate the hydraulic gradient, which is the change in pressure or energy per unit of length of the channel or pipe. The hydraulic gradient is used to calculate the flow rate of the fluid, which is important in designing and analyzing hydraulic systems.
Conclusion
In conclusion, the hydraulic mean depth or hydraulic radius is an important parameter in fluid mechanics. It is used to measure the efficiency of a channel or pipe in carrying fluid. The formula for hydraulic mean depth is the ratio of the area of flow to the wetted perimeter of the channel or pipe.
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The hydraulic mean depth or the hydraulic radius is the ratio ofa)area of flow and wetted perimeterb)wetted perimeter and diameter of pipec)velocity of flow and area of flowd)none of theseCorrect answer is option 'A'. Can you explain this answer?
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